Free shipping on all orders over $79* Limited Time Only
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $79
Designs and their Codes : Cambridge Tracts in Mathematics, 103 - No Information Available

Designs and their Codes

By: No Information Available

Paperback | 7 March 1994

At a Glance

Paperback

RRP $157.95

$141.75

10%OFF

or 4 interest-free payments of $35.44 with

 or 

Ships in 5 to 7 business days

Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the Reed-Muller and generalized Reed-Muller codes. The last three chapters treat the applications of coding theory to some important classes of designs, namely finite planes, Hadamard designs and Steiner systems, in particular the Witt systems. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, designed to be used by non-specialists and can be used by those graduate students or computer scientists who may be working in these areas.
Industry Reviews
"...a valuable resource for researchers in either finite geometries or coding theory as well as for algebraists who want to learn about this lively, growing area." Vera Pless, Mathematical Reviews "...the relationship between the two subjects is very much a two-way channel, and the book is a mine of useful information from whichever direction one approaches it...a useful compilation of material which, together with the extensive bibliography, will prove useful to anyone whose research impinges on these topics." N.L. Biggs "...speaks to the tremendous influence the plane of order ten has subsequently had on the analysis and classification of designs in a much broader context than projective planes...a welcome addition to a very exciting and relatively new application of an established discipline to combinatorics...a truly fascinating and useful book. It belongs on the shelves of all those who wish to be current on the state of design theory and who are seeking interesting problems in the field to pursue." M.A. Wertheimer, Bulletin of the American Mathematical Society

You Can Find This Book In

Non-FictionMathematicsCombinatorics & Graph TheoryAlgebraProbability & StatisticsComputing & I.T.Computer ScienceMathematical Theory of Computation

More in Combinatorics & Graph Theory

Foundations of Graph Theory - Peter Griffin

Foundations of Graph Theory

Hardcover

$461.99

Foundations of Graph Theory - Peter Griffin

Foundations of Graph Theory

Hardcover

$461.99

Discrete Mathematics for Data Science - Jack Pope

Discrete Mathematics for Data Science

Hardcover

RRP $179.00

$158.99

11%
OFF
Discrete Mathematics for Data Science - Jack Pope

Discrete Mathematics for Data Science

Paperback

RRP $103.00

$91.75

11%
OFF
A First Look At Graph Theory - John Clark

A First Look At Graph Theory

Paperback

RRP $88.99

$80.75

Principles And Techniques In Combinatorics - Chuan Chong Chen

Principles And Techniques In Combinatorics

Paperback

RRP $70.99

$63.99

10%
OFF
Milestones in Graph Theory : A Century of Progress - Lowell W. Beineke

Milestones in Graph Theory

A Century of Progress

Paperback

RRP $160.00

$154.75

SEL PROB VIETNAMESE MATH'L..(V5) : Mathematical Olympiad - CHAU LE HAI

SEL PROB VIETNAMESE MATH'L..(V5)

Mathematical Olympiad

Paperback

RRP $70.99

$28.00

61%
OFF
PRINCIPLES AND TECHNIQUES IN COMBINATORICS : SOLUTIONS MANUAL - MINGYAN KEAN PEW FOO &

PRINCIPLES AND TECHNIQUES IN COMBINATORICS

SOLUTIONS MANUAL

Paperback

RRP $81.99

$73.99

10%
OFF

This product is categorised by